Manny created a storage bin for the family to hold remote control on cell phone cords. What is the total surface area of the storage
bin?
To calculate the total surface area of the storage bin, we need to find the area of each individual surface and then sum them up.
Assuming the storage bin is a rectangular prism, we need to find the area of each of the six faces: the top, bottom, front, back, left, and right sides.
Let's say the dimensions of the storage bin are:
- Length (l) = 10 inches
- Width (w) = 6 inches
- Height (h) = 4 inches
To find the area of each face:
1. Top and bottom faces: Area = length x width
Top face = 10 x 6 = 60 square inches
Bottom face = 10 x 6 = 60 square inches
Total for top and bottom = 60 + 60 = 120 square inches
2. Front and back faces: Area = length x height
Front face = 10 x 4 = 40 square inches
Back face = 10 x 4 = 40 square inches
Total for front and back = 40 + 40 = 80 square inches
3. Left and right faces: Area = width x height
Left face = 6 x 4 = 24 square inches
Right face = 6 x 4 = 24 square inches
Total for left and right = 24 + 24 = 48 square inches
Now, sum up all the areas:
120 (top and bottom) + 80 (front and back) + 48 (left and right) = 248 square inches
Therefore, the total surface area of the storage bin is 248 square inches.